In 2021, Gutman invented a novel degree-based topological index called the Sombor index, inspired by a geometric interpretation of degree-radii of the edges and invited researchers to investigate their mathematical properties and chemical meanings. The Sombor index was reformulated in terms of the edge degree instead of the vertex degree as the original Sombor Index. In this paper, we compute the exact values of a certain class of graphs. Also, some bounds in terms of the order, size, minimum/maximum degrees and other topological indices are obtained.
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Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570, MexicoBenemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570, Mexico
Mendez-Bermudez, J. A.
Aguilar-Sanchez, R.
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Benemerita Univ Autonoma Puebla, Fac Ciencias Quim, Puebla 72570, MexicoBenemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570, Mexico
Aguilar-Sanchez, R.
Molina, Edil D.
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Univ Autonoma Guerrero, Fac Matemat, Carlos E Adame 54, Acapulco Gro 39650, MexicoBenemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570, Mexico
Molina, Edil D.
Rodriguez, Jose M.
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Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, SpainBenemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570, Mexico